SOLUTION: please help prove: tan^2^(x)+cot^2^(x)=(1-2sin^2^(x)+2sin^4^(x))/(sin^2^(x)-sin^4^(x))

Algebra ->  Trigonometry-basics -> SOLUTION: please help prove: tan^2^(x)+cot^2^(x)=(1-2sin^2^(x)+2sin^4^(x))/(sin^2^(x)-sin^4^(x))      Log On


   

Question 235426: please help prove: tan^2^(x)+cot^2^(x)=(1-2sin^2^(x)+2sin^4^(x))/(sin^2^(x)-sin^4^(x))
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!




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sin%5E4%28x%29+%2B+cos%5E4%28x%29+=+1-2sin%5E2%28x%29%2B2sin%5E4%28x%29
cos%5E4%28x%29+=+1+-+2sin%5E2%28x%29+%2B+sin%5E4%28x%29
%281-sin%5E2%28x%29%29%5E2+=+1+-+2sin%5E2%28x%29+%2B+sin%5E4%28x%29
1+-+2sin%5E2%28x%29+%2B+sin%5E4%28x%29+=+1+-+2sin%5E2%28x%29+%2B+sin%5E4%28x%29
QED